A new finite volume approach for transport models and related applications with balancing source terms. - Eduardo Abreu; Wanderson Lambert; John Pérez; Arthur Miranda do Espírito Santo (Math. Comput. Simul., 2017)

A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications. - Eduardo Abreu; John Pérez (Comput. Math. Appl., 2019)

On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows. - Eduardo Abreu; Ciro Díaz; Juan Galvis; John Pérez (Multiscale Model. Simul., 2020)

Convergence of a Lagrangian-Eulerian scheme via the weak asymptotic method. - Eduardo Abreu; Arthur Miranda do Espírito Santo; Wanderson Lambert; John Pérez (CoRR, 2021)

A Class of Lagrangian-Eulerian Shock-Capturing Schemes for First-Order Hyperbolic Problems with Forcing Terms. - Eduardo Abreu; Vítor Matos; John Pérez; P. Rodríguez-Bermúdez (J. Sci. Comput., 2021)

A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models. - Eduardo Abreu; Jean François; Wanderson Lambert; John Pérez (J. Comput. Appl. Math., 2022)

A Class of Positive Semi-discrete Lagrangian-Eulerian Schemes for Multidimensional Systems of Hyperbolic Conservation Laws. - Eduardo Abreu; Jean François; Wanderson Lambert; John Pérez (J. Sci. Comput., 2022)

A geometrically intrinsic lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data. - Eduardo Abreu; Elena Bachini; John Pérez; Mario Putti (Appl. Math. Comput., 2023)

A relaxation approach to modeling properties of hyperbolic-parabolic type models. - Eduardo Abreu; Arthur Miranda do Espírito Santo; Wanderson Lambert; John Pérez (Commun. Nonlinear Sci. Numer. Simul., 2024)

A triangle-based positive semi-discrete Lagrangian-Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws. - Eduardo Abreu; Jorge Agudelo; John Pérez (J. Comput. Appl. Math., 2024)